A current I is flowing through two concentric tubes with inner radii r₁ and r2 and wall thickness d (see figure 2a). On the outer tube, the current is flowing in the opposite direction of the inner tube. Calculate and also sketch qualitatively (see figure 1b) th magnetic field B(r) as a function of the distance r of the tube axis 0 < r < . Th current density in the tubes is constant. a) b) B(r) r
A current I is flowing through two concentric tubes with inner radii r₁ and r2 and wall thickness d (see figure 2a). On the outer tube, the current is flowing in the opposite direction of the inner tube. Calculate and also sketch qualitatively (see figure 1b) th magnetic field B(r) as a function of the distance r of the tube axis 0 < r < . Th current density in the tubes is constant. a) b) B(r) r
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Transcribed Image Text:24. A current I is flowing through two concentric tubes with inner radii r₁ and r2 and wall
thickness d (see figure 2a). On the outer tube, the current is flowing in the opposite
direction of the inner tube. Calculate and also sketch qualitatively (see figure lb) the
magnetic field B(r) as a function of the distance r of the tube axis 0 < r < c. The
current density in the tubes is constant.
a)
d
d
Fig. 1
b)
B(r)
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Step 1: Given data:
VIEWStep 2: Calculation of current densities:
VIEWStep 3: Calculation of magnetic field when r<p or r<r1:
VIEWStep 4: Calculation of magnetic field when p<r<q or r1<r<r1+d:
VIEWStep 5: Calculation of magnetic field when q<r<s or r1+d<r<r2:
VIEWStep 6: Calculation of magnetic field when s<r<t or r2<r<r2+d:
VIEWStep 7: Calculation of magnetic field when r>t or r>r2:
VIEWStep 8: Plot of B(r) vs r:
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